I am a serial overseas traveler, once I carried 25 bows in my checkered luggage, with knives, many, broadheads, tons, and arrows. I am been doing these for 30 years 2-3 times a year. Never had a problem, for sure the TDS are a plus saving you money for a extra piece of luggage. I store my bows inside a padded bow case like Kathy Kelly or similar. The arrows stay in a rigid box, broadheads in a special box. My luggage on exit from the US are always been controlled by TSA agents and nobody has ever questioned with my belongings.
Same in my way in.
That’s it.